Search a number
-
+
444034343144 = 23759134392961
BaseRepresentation
bin1100111011000101000…
…00100110000011101000
31120110010111221202212202
412131202200212003220
524233340242440034
6535553032555332
744036404433120
oct6354240460350
91513114852782
10444034343144
1116134a8a1127
1272082252b48
1332b454780a2
14176c44a3c80
15b83c68b47e
hex67628260e8

444034343144 has 32 divisors (see below), whose sum is σ = 967629326400. Its totient is φ = 187075000320.

The previous prime is 444034343119. The next prime is 444034343149. The reversal of 444034343144 is 441343430444.

It is a junction number, because it is equal to n+sod(n) for n = 444034343098 and 444034343107.

It is not an unprimeable number, because it can be changed into a prime (444034343149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67193177 + ... + 67199784.

It is an arithmetic number, because the mean of its divisors is an integer number (30238416450).

Almost surely, 2444034343144 is an apocalyptic number.

It is an amenable number.

444034343144 is an abundant number, since it is smaller than the sum of its proper divisors (523594983256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444034343144 is a wasteful number, since it uses less digits than its factorization.

444034343144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134393033 (or 134393029 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 444034343144 its reverse (441343430444), we get a palindrome (885377773588).

The spelling of 444034343144 in words is "four hundred forty-four billion, thirty-four million, three hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 826 1652 3304 134392961 268785922 537571844 940750727 1075143688 1881501454 3763002908 7526005816 7929184699 15858369398 31716738796 55504292893 63433477592 111008585786 222017171572 444034343144